Chris Ramsey’s side are still in the relegation zone but the defender believes their recent run should give their rivals cause for concern.
Hill scored his first Premier League goal in Tuesday’s 3-3 draw at Aston Villa, 18 years after making his professional debut with Tranmere Rovers.
He said: “We have dragged teams in to it now, Villa probably thought they could win the game and pretty much put themselves safe.
“But we’ve brought another team into it and the pressure goes onto the next game. It’s about the team and players who hold their head and keep calm who will prevail and stay in this league.
“The positive is we have four points from difficult travels and we’re right in the battle now so we’re looking forward to the next game.”
Hill made it 2-2 before Charlie Austin put Rangers 3-2 up with 12 minutes left but Christian Benteke completed his hat-trick with a 25-yard free kick five minutes later to deny QPR victory.
Hill told the club’s website: “I’m glad I’ve got the goal because it’s been bugging me for a number of years. I’m 37-years-old and you don’t think you’ll get to play another Premier League game. I’m glad that’s off my back and I’m glad I played my part.
“It was a hell of a game to watch I suppose but we were disappointed in the first half, I don’t think we really imposed ourselves.
“To go in 2-1 behind we could have kept our heads down and sunk, but we showed a lot of character and going 3-2 up you think you’ve got the precious three points in the bag but they scored a fantastic free kick in the end.”
QPR’s next game is a Sky Live London derby against Chelsea on Sunday afternoon.